Melissa Cambell is married, earns $628 week, amd claims 5 allowances. What is the Federal Income Tax Withheld?

Answer:

25:)

Step-by-step explanation:

i need one more brainly little crown may i please have one

Mean, median and mode are 3 of the central measures of a data set. Its central measures are: Mean = 81.07 , Median = 83 , Mode = 89. The best measure of center for this data set is its mode = 89

Mean is the arithmetic average. In other words, sum all data values and divide that sum by the number of its values.

Mode is that value from the data set which occurred the most in the data set. In other words, sometimes there can be more than 2 values, and sometimes this mode is find by a different technique.

Median is a value before which and after which lies same number of data observations (sorted data either arranged ascending or descending.

For the given data set:

80, 84, 79, 44, 87, 73, 89, 90, 82, 89, 93, 97, 77, and 71,

Sorting the data in ascending order, the data set looks like:

44, 71, 73, 77, 79, 80, 82, 84, 87, 89, 89, 90, 93, 97

Its mean is:

Mean = sum of data values/ number of data values

          = 1135/14 ≈ 81.07

The number 89 occurs 2 times, and rest of the numbers occur only one time. Thus, 89 occurs most frequently. Thus, its mode is 89.

There are 14 values, and thus, 7th and 8th values are the middle values. They are 82 and 84. Any value between 82 and 84 is median as before it and after it will lie 7- 7 values. But, traditionally, and unbiasedly, we'll take their(of 82 and 84) average which is 83. Thus,

                     Median = 83

Thus, we have:

Mean of the data set = 81.07 approximately.

Median of the data set = 83

Mode of the data set = 89

Since most of the data lies on the right side, thus, mean is not a good choice (as it is affected by outlier and we have 44 as an outlier). In case of outliers, we will accept median or mode. Both are ok here as there is only single outlier. The presence of outlier is still affecting median but not mode. So mode is the best choice here as central measure.

Thus, The best measure of center for this data set is its mode = 89

Learn more about mean, median and mode:

https://brainly.com/question/15323584

#SPJ4

According to the theory of rational functions, there are no vertical asymptotes at the rational function evaluated at x = 3.

Herein we know that the rational function is q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15), there are vertical asymptotes for values of x such that the denominator becomes zero. First, we factor both numerator and denominator of the equation to see evitable and non-evitable discontinuities:

q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15)

q(x) = [(x - 3)²] / [(x - 3) · (x - 5)]

q(x) = (x - 3) / (x - 5)

There are one evitable discontinuity and one non-evitable discontinuity. According to the theory of rational functions, there are no vertical asymptotes at the rational function evaluated at x = 3.

To learn more on rational functions: https://brainly.com/question/27914791

#SPJ1

The surface area of the glass sculpture in the shape of a right square prism can be represented by the equation 10s^2, where s represents the side length of the base square.

A glass sculpture in the shape of a right square prism is shown. The base of the sculpture's outer shape is a square. To find the surface area of the sculpture, we need to calculate the area of each face and then add them together.

To calculate the surface area, we can use the formula: Surface Area = 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height of the prism.

Since the base of the sculpture is a square, we know that the length (l) and width (w) are equal. Let's call this side length s.

To find the surface area, we can substitute the values into the formula:
Surface Area = 2s^2 + 2s*h + 2s*h.

Since the sculpture is a right square prism, we can assume that the height (h) is also equal to the side length (s).

Substituting the values:
Surface Area = 2s^2 + 2s*s + 2s*s.

Simplifying the equation:
Surface Area = 2s^2 + 4s^2 + 4s^2.

Combining like terms:
Surface Area = 10s^2.

So, the surface area of the glass sculpture in the shape of a right square prism can be represented by the equation 10s^2, where s represents the side length of the base square.

Learn more about surface area

brainly.com/question/29298005

#SPJ11

Yes, -6.8 is a rational number because we can express it as a fraction.

All integers are rational, but rational numbers are not integers.

Integers are positive, negative numbers and zero.

Hope it helps!

Good luck! :)

\(GraceRosalia\)

Answer:\(y\leq 7\)

Step-by-step explanation: To solve the inequality we can start by isolating y on one side of the inequality by subtracting 15 from both sides

2y+15-15\(\leq\)29-15

this simplifies to 2y\(\leq\)14

Next, we can isolate y by dividing both sides by 2: 2y/2\(\leq\)14/2

simplifying further gives y\(\leq\)7 therefore the answer is y\(\leq\)7

Answer:

We can do it by using Pythagoras Theorem.

We can write

10

as follows:

10= 9+1⇒ 10

= 3 2 +1 2

The construction steps are as follows:

1. Take a line segment AO=3 unit on the x-axis. (consider 1 unit = 2 cm)

2. Draw a perpendicular on O and draw a line OC=1 unit

3. Now join AC with

10 .

4. Take A as center and AC as radius, draw an arc which cuts the x-axis at point E.

5. The line segment AC in the below diagram represents

10 units.

Answer: 10

Step-by-step explanation:

The algebraic expression become 3n-16<8.

According to the statement

We have to find that the numerical expression.

So, For this purpose, we know that the

Algebraic expression is an expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.

From the given information:

the difference between three times a number and 16 is at least 8

Then

From 1st statement it become 3n -16

And with other statement and combining

Then  the equation become

3n-16<8

Now solve the expression for the value of the n

then it becomes

3n<24

n<8.

The value becomes is 8.

So, The algebraic expression become 3n-16<8.

Learn more about Algebraic expression here

https://brainly.com/question/4344214

#SPJ9

Answer:

6cm

Step-by-step explanation:

30 divded by 5 times 1

Answer:

Step-by-step explanation:

5cm

The probability that Adam and Betty meet at some point is $1-\frac{1}{16}=\boxed{\frac{15}{16}}$.

To find the probability that Adam and Betty meet while walking on the grid, we can consider their paths. Adam will always move up or right, while Betty will always move down or left. This means that their paths will always be perpendicular, and they will only meet if they intersect at some point.

Let's consider the first minute. Adam can either move up or right, and Betty can either move down or left. There are four possible outcomes: Adam moves up and Betty moves down, Adam moves up and Betty moves left, Adam moves right and Betty moves down, or Adam moves right and Betty moves left.

Out of these four outcomes, only one leads to Adam and Betty meeting: if Adam moves right and Betty moves down, they will meet at the point $(1,3)$. So the probability of them meeting in the first minute is $\frac{1}{4}$.

Now let's consider the second minute. Adam will be one unit away from $(1,3)$, and Betty will be one unit away from $(1,3)$. There are four possible outcomes again, but only one leads to them meeting: if Adam moves up and Betty moves down, they will meet at the point $(1,2)$. So the probability of them meeting in the second minute is $\frac{1}{4}$.

We can continue this process for each minute. At each step, there is only one outcome that leads to them meeting, and the probability of that outcome is $\frac{1}{4}$. So the probability of them meeting after $n$ minutes is $\left(\frac{1}{4}\right)^n$.

Now we need to find the probability that they meet at any point in time. We can do this by taking the complement of the probability that they never meet. The only way they will never meet is if their paths never intersect, which means that Adam always stays to the right of Betty or always stays above Betty.

The probability of this happening is the same as the probability that Adam flips tails $4$ times in a row, or Betty flips heads $2$ times in a row. This probability is $\left(\frac{1}{2}\right)^4=\frac{1}{16}$, since there are $2^4$ possible outcomes for Adam and $2^2$ possible outcomes for Betty.

So the probability that Adam and Betty meet at some point is $1-\frac{1}{16}=\boxed{\frac{15}{16}}$.

to learn more about probability click here:

brainly.com/question/29221515

#SPJ11

c=4 w=4

5c=20

3w=12

5c+3w=32

Answer:

\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)

\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)

So the equation of the circle is

\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)

The Recurrence interval for tornadoes in tuscaloosa county is 0.909

What is recurrence interval ?

The time period in which a new occurrence of something that happened or appeared before : a repeated occurrence or The time frame in which a previously occurring event or appearance first occurs: a recurring occurrence

Given that,

Total number of tornadoes is 77

Total time for Recurrence is 70 years

Using these data,

Recurrence = Total time for recurrence / Total number of tornadoes

Substituting we get,

Recurrence interval = 70/77

= (70/77)

= (0.909)

To Learn more about recurrence interval:

brainly.com/question/17253648

#SPJ4

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

To know more about distribution refer here:

https://brainly.com/question/29664127

#SPJ11

The work done by the force of 6 pounds acting at an angle of 60 degrees to the horizontal in moving the object 6 feet is 18 foot-pounds.

To find the work done by a force of 6 pounds acting in the direction of 60 degrees to the horizontal in moving an object 6 feet from (0,0) to (6,0), we can use the formula for work:

Work (W) = Force (F) * Distance (d) * cos(θ)

Where:

Force (F) is given as 6 pounds

Distance (d) is the displacement of the object, which is 6 feet in this case

θ is the angle between the force vector and the displacement vector, which is 60 degrees in this case

Plugging in the values into the formula, we have:

W = 6 pounds * 6 feet * cos(60 degrees)

To calculate cos(60 degrees), we need to convert the angle to radians:

60 degrees = (60 * π) / 180 radians

= π / 3 radians

Now we can calculate the work:

W = 6 * 6 * cos(π/3)

Using the value of cos(π/3) = 0.5, we can simplify further:

W = 6 * 6 * 0.5

= 18

To learn more about work done here:

https://brainly.com/question/32305159

#SPJ4

Answer:

p=4

Step-by-step explanation:

S=kpt                                            S=5pt

500=k4(24)                                   40=5(p) (2)

500=100k                                       40=10p

k=5                                                     p=4

The volume of the candle is approximately 94 cubic inches.

A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.

The volume of a right circular cylinder is given by the formula:

V = πr²h

Where

Substituting the given values into the formula, we get:

V = 3.14 x 2² x 7.5

V = 3.14 x 4 x 7.5

V = 94.2

Rounding to the nearest cubic inch, we get:

V ≈ 94 cubic inches

Therefore, the volume of the candle is approximately 94 cubic inches.

Learn more about circular cylinder here : brainly.com/question/2963891

#SPJ1

Answer:

Step-by-step explanation:

Let's use the slope formula to find the slope of a line.

Given points:

Slope formula:

Solution:

Hence, the slope of the line is 5/3.

Answer:

a - 23,750 bulbs

Step-by-step explanation:

950 x 25 = 23,750

The first blue peak around day 17 represents the highest concentration of antibodies that occurs after the first exposure to antigen X.

Antibodies are proteins that are produced by the immune system in response to the presence of an antigen, which is a foreign substance that the body recognizes as a threat. When the body is exposed to antigen X for the first time, it takes some time for the immune system to recognize and respond to it.

As the immune system begins to produce antibodies against antigen X, their concentration in the bloodstream gradually increases until it reaches a peak, which is the point at which the body has produced the maximum amount of antibodies against that antigen. This first blue peak indicates that the body has successfully mounted an immune response to antigen X, and is now better equipped to recognize and neutralize it if it encounters it again in the future.

Learn more about antigen here:

brainly.com/question/14724412

#SPJ11

Answer:

Centre = (2, -3)

radius = 5units

Step-by-step explanation:

The standard form of a circle is expressed as;

x²+y²+2gx+2fy+c = 0

Centre = (-g, -f)

radius r = √g²+f²-c

Given the equation;

x²+y²-4x+6y-12 = 0

Compare

2gx = -4x

2g = -4

g = -2

Similarly;

2fy = 6y

2f = 6

f = 3

Centre = (-(-2), -3)

Centre = (2, -3)

Radius = r = √(-2)²+3²+12

r = √4+9+12

r = √25

r = 5 units

Step-by-step explanation:

a probability is always desired cases over total possible cases.

the bag has 4 + 7 + 8 + 6 = 25.

so, when we pick a random M&M we have total 25 possible outcomes.

the desired cases are to pick a green or a blue M&M.

that means these are 7+8 = 15 cases.

the probability to pick one or of the desired cases is

15/25 = 3/5 = 0.6

Answer: 89 or 90 degrees.

Step-by-step explanation:

Answer:

the three vertices are (1, 1), (2, 0), (-1, -3).

The vertices of the triangles are the coordinates of the point of

intersection of the graph of the equation of the three lines.

Correct response:

The coordinates of the three vertices of the triangles are;

E. \(\underline{(2, 0), \ (1, -1), \ and \ (-1, -3)}\)

The equation of the given lines are;

y = -x + 2, y = 2·x - 1, y = x - 2

The point of the intersection of the two lines, gives the vertices, and are

the solution of the two linear equations of the lines.

At the points where the lines intersect, we have;

-x + 2 = 2·x - 1

Which gives;

3·x = 3

x = 1

y = -1 + 2 = -1

A vertex is at the point (1, -1)

The coordinate of the second vertex is given as follows;

2·x - 1 = x - 2

2·x - x = -2 + 1 = -1

x = -1

y = -1 - 2 = -3

The second vertex is; (-1, -3)

The coordinates of the third vertex is given as follows;

-x + 2 = x - 2

2·x = 4

x = 2

y = 2 - 2 = 0

Which gives the point; (2, 0)

Learn more about linear equations here:

https://brainly.com/question/1430935

Therefore, option a and d are Independent events and the correct answer.

Two events are independent if the occurrence of one event has no effect on the likelihood of the occurrence of the other event.

So, let's go through each of the given options to determine which pairs of events are independent:

a. Having a large shoe size and using blue pens:

These two events are completely unrelated to each other, so they are independent. Thus, option a is the correct answer.

b. Driving on ice and having an accident:

Driving on ice increases the likelihood of having an accident, so these two events are dependent.

c. Being pregnant and being female: These two events are not independent since being pregnant is only possible for females. Thus, they are dependent.

d. Drawing a spade from a deck of cards and getting tails on a flip of a coin: These two events are completely unrelated, so they are independent.

e. A father being blonde and his daughter being blonde: These two events are dependent since the father passes on his genes to his daughter. Thus, they are dependent.

f. Getting a raise in salary and buying a new car: These two events are dependent since getting a raise would make buying a car more likely.

Therefore, option a and d are independent events and the correct answer.

For more questions on Independent .

https://brainly.com/question/25223322

#SPJ8

When the temperature increases and the water vapor content in the air stays the same, the relative humidity decreases. This is because warmer air can hold more moisture than colder air, and therefore the ratio of the actual amount of water vapor in the air to the maximum amount of water vapor that the air can hold decreases as the air temperature increases.

Relative humidity depends on two factors: the amount of water vapor present in the air and the maximum amount of water vapor that the air can hold at a given temperature. As the temperature rises, so does the amount of water vapor that the air can hold, since warm air has more energy to hold the water molecules in vapor form. This reduces the ratio of the actual amount of water vapor in the air to the maximum amount of water vapor the air can hold, resulting in lower relative humidity.

To learn more about Relative Humidity:

https://brainly.com/question/5369085

https://brainly.com/question/21494654

Answer:

1.she is not working and the iran.